What is the smaller and larger value for this equation?

Question

Suppose f has absolute minimum value m and absolute maximum value M. Between what two values must 8	f(x) dx
5

lie?

What is the smaller value?

What is the larger value?

Answer 1

Hmm, what an interesting question. I think the smaller value is 3*m and the larger value is 3*M. Since the function can't be smaller than m or larger than M, the integral over 3 units must be larger than 3*m and smaller than 3*M.